DocumentCode
1742201
Title
Exact computation of area moments for spline and wavelet curves
Author
Jacob, Mathews ; Blu, Thierry ; Unser, Michael
Author_Institution
Biomed. Imaging Group, Swiss Federal Inst. of Technol., Lausanne, Switzerland
Volume
3
fYear
2000
fDate
2000
Firstpage
127
Abstract
We present an exact algorithm for the computation of the moments of a region bounded by a curve represented in a scaling function or wavelet basis. Using Green´s theorem, we show that the computation of the area moments is equivalent to applying a suitable multidimensional filter on the coefficients of the curve and thereafter computing a scalar product. We compare this algorithm with existing methods such as pixel-based approached and approximation of the region by a polygon
Keywords
Green´s function methods; edge detection; method of moments; object recognition; splines (mathematics); wavelet transforms; Green theorem; area moments; multidimensional filter; polygon; scaling function; spline; wavelet curves; Biomedical computing; Biomedical imaging; Filters; Integral equations; Jacobian matrices; Multidimensional systems; Shape; Spline; Surface reconstruction; Surface waves;
fLanguage
English
Publisher
ieee
Conference_Titel
Pattern Recognition, 2000. Proceedings. 15th International Conference on
Conference_Location
Barcelona
ISSN
1051-4651
Print_ISBN
0-7695-0750-6
Type
conf
DOI
10.1109/ICPR.2000.903501
Filename
903501
Link To Document